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Finding the Third Proportional to 71,525 and 157,059

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Solution

The third proportional to 71,525 and 157,059 is: 344,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,525 : 157,059 = 157,059 : x
  2. Step 2: Convert to fraction form
    71,525/157,059 = 157,059/x
  3. Step 3: Cross multiply
    71,525x = 157,059 × 157,059
  4. Step 4: Simplify right side
    71,525x = 24,667,529,481
  5. Step 5: Solve for x
    x = 24,667,529,481/71,525
  6. Step 6: Final answer
    x = 344,879.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.